The only way to save the damascus barrels is to have Teague line it internally. Sleeving would involve cutting the barrels and having new steel barrels sleeved into the breech end. All damascus pattern past a few inches would be lost forever.

Each .010 of metal added to a bore increases the weight by 2-3 ounces per 30" barrel. If you barrels are much less than .025 they have been honed a few times over the years. So if you have it lined to .030 or .035 the wieght may be heavier than it is now by 5-8 ounces. But consider that this heavier weight most likely is about where you gun was when new. I had a game gun that had been rebalanced atleast one time and possibly twice in its life and the barrels were very thin by the time I owned it. It certainaly never left the factory with .025 and .021 barrels.

Teague may be willing and able to do just the right barrel. I would have them do both. If one is weak or thin then the other most likely is also.

The world is too full of sleeved guns to add another. IF you cut yours and have them sleeved the barrels will be much heavier unless you are very specific in telling the smith what is desired as a final weight. That is assuming that he can make it that light in the first place. And that damascus pattern will be lost.